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Simplifying 15x + -1(3x + -5)(4x + 5) = 5 + -12x2 Reorder the terms: 15x + -1(-5 + 3x)(4x + 5) = 5 + -12x2 Reorder the terms: 15x + -1(-5 + 3x)(5 + 4x) = 5 + -12x2 Multiply (-5 + 3x) * (5 + 4x) 15x + -1(-5(5 + 4x) + 3x * (5 + 4x)) = 5 + -12x2 15x + -1((5 * -5 + 4x * -5) + 3x * (5 + 4x)) = 5 + -12x2 15x + -1((-25 + -20x) + 3x * (5 + 4x)) = 5 + -12x2 15x + -1(-25 + -20x + (5 * 3x + 4x * 3x)) = 5 + -12x2 15x + -1(-25 + -20x + (15x + 12x2)) = 5 + -12x2 Combine like terms: -20x + 15x = -5x 15x + -1(-25 + -5x + 12x2) = 5 + -12x2 15x + (-25 * -1 + -5x * -1 + 12x2 * -1) = 5 + -12x2 15x + (25 + 5x + -12x2) = 5 + -12x2 Reorder the terms: 25 + 15x + 5x + -12x2 = 5 + -12x2 Combine like terms: 15x + 5x = 20x 25 + 20x + -12x2 = 5 + -12x2 Add '12x2' to each side of the equation. 25 + 20x + -12x2 + 12x2 = 5 + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 25 + 20x + 0 = 5 + -12x2 + 12x2 25 + 20x = 5 + -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 25 + 20x = 5 + 0 25 + 20x = 5 Solving 25 + 20x = 5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 20x = 5 + -25 Combine like terms: 25 + -25 = 0 0 + 20x = 5 + -25 20x = 5 + -25 Combine like terms: 5 + -25 = -20 20x = -20 Divide each side by '20'. x = -1 Simplifying x = -1
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